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ٿσʔλੳϋοΧιϯ ४༏উղ๏ͱಛྔॏཁ V !VQVSB ࡕେ"*ϝσΟΧϧݚڀձ ˏେࡕେֶਧాΩϟϯύε ݄
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ࣗݾհ • اۀͰӦۀɾϚʔέςΟϯά͚ ͷσʔλੳˍ։ൃ • ,BHHMF&YQFSU "U$PEFS • IUUQTVQVSBIBUFOBCMPHDPN • ࡢ͔ΒಠΓཱྀͰؔʹདྷ·ͨ͠
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ຊͷ ʮٿσʔλੳϋοΧιϯʯͷ֓ཁ ४༏উͷղ๏ ಛྔͷॏཁ GFBUVSFJNQPSUBODF ݱ࣮ੈքͰͷ׆༻ࣄྫ • ϚʔέςΟϯά • ҩྍ
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ʮٿσʔλੳ ϋοΧιϯʯͷ֓ཁ
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ٿͷσʔλΛੳ • ύγϑΟοΫϦʔάϚʔέςΟϯάגࣜձࣾ ڠྗ͠ɺ࣮ࡍͷٿͷσʔλΛੳ • ΤϯδχΞϦϯά෦ίϯαϧςΟϯά෦ • ࢀՃ෦ͷऴΘΓʹબ
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ΤϯδχΞϦϯά෦ • ໊͕ࢀՃʢνʔϜ!͘Β͍ʣ • ؒͷ։࠵ʢ࣮ಇɿ࣌ؒʣ • ՝ʮͱ͋ΔٿஂͷϑΝϯΫϥϒձһ͕ ಛఆͷࢼ߹ʹདྷΔ͔൱͔ʯͷ༧ଌ • ϑΝϯΫϥϒͷձһσʔλ • ʮϕʔεϘʔϧΦϖϨʔγϣϯʯͷσʔλ
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༩͑ΒΕͨ՝ (BNF (BNF (BNF (BNF (BNF (BNF (BNF ʜʜ ʜʜ ʜʜ BBB͞Μ CCC͞Μ DDD͞Μ ʜʜ YYY͞Μ ʜʜ ZZZ͞Μ ʜʜ [[[͞Μ ఏग़σʔλ \ ^ ϢʔβɿUSBJO UFTU͕ສਓͣͭ
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ϚʔέςΟϯά • (BNFʙʹདྷ͔ͨ൱͔ʢUFTU·Ͱʣ • ੜ • ੑผ • ܧଓ • ϙΠϯτʢ(BNFʙͷྦྷੵʣ • &$ߪೖֹۚʢ(BNFʙͷྦྷੵʣ
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ϕʔεϘʔϧΦϖϨʔγϣϯ • ֤ଧऀͷࢼ߹͝ͱͷݸਓ • ֤खͷࢼ߹͝ͱͷݸਓ • ֤ࢼ߹ͷଧ੮͝ͱͷ݁Ռ
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ධՁ • ඞਢ݅ɿϕʔεϘʔϧΦϖϨʔγϣϯ ͷσʔλΛೖྗʹ͏ • ֎෦σʔλͷ༻ېࢭ • ධՁج४ɿ༧ଌޡࠩ ˞ࠓճͷ߹ɺਖ਼ղͱಉٛ !"#$ = 1 ' ( ) *+,- − *+,- / , *+,- ∈ 0, 1
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ίϯαϧςΟϯά෦ • σʔλ͔Βʮ৽͍͠ൃݟʯΛಋ͖ग़͢ • ఏग़ͨ͠ϓϨθϯࢿྉΛجʹબൈ͞Εͨ ্ҐνʔϜ͕ϓϨθϯ • νʔϜ໊͕ࢀՃ
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४༏উͷղ๏
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ϝϯόʔͱํ • ਓνʔϜͰࢀՃ ʢશһ͕σʔλੳˍεϙʔπͷݟ͋Γʣ • ࣮ॳɺίϯαϧςΟϯά෦ʹࢀՃ༧ఆ • ࠷ॳʹཱͯͨԾઆͱਅٯͷੳ݁Ռ͕ग़ͨ! • όοΫΞοϓͰਐΊͨΤϯδχΞϦϯά෦ ༧ଌਫ਼͕ྑ͔ͬͨͷͰɺํมߋ
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ͷ ˞ओʹҎ֎ͷਓ͕ίϯαϧςΟϯά෦ɺ͕ΤϯδχΞϦϯά෦ Λݕ౼͓ͯ͠Γɺ࣌ίϯαϧςΟϯά෦ʹࢀՃ༧ఆͩͬͨ
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୳ࡧతσʔλੳ • (BNFʙͷདྷใ͕ެ։͞Εͨສਓ தͷདྷਓɿ • (BNFˠਓ • (BNFˠਓ • (BNFˠਓ • ʮ(BNF౷ܭతػցֶश͕͑ͦ͏ʯ • ʮ(BNFͱɾɾɾʯ (BNFʙͰɺ ʮສਓதສਓఔʯ ͕ѹతʹଟ͔ͬͨ
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(BNFʢͷ୲ʣ • ಛྔ • ϑΝϯΫϥϒձһ͕ʮࠓقॳΊͯࢀՃͨ͠ࢼ߹ʯ ͷϕʔεϘʔϧΦϖϨʔγϣϯͷใ • ྫɿຊྥଧɺಘɺΤϥʔͳͲ • ʮࢼ߹ʹདྷΔ͔൱͔ॳΊͯͷࢼ߹ͷҹ͕ޮ͘ʯͱ ͍͏ܾΊଧͪͷԾఆΛஔ͍ͨ • ϚʔέςΟϯάͷσʔλ • ߹ܭɺִؒɺۙOࢼ߹ͳͲ
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(BNFʢͷ୲ʣ • ༧ଌϞσϧ • TLMFBSOͷ(SBEJFOU#PPTUJOH$MBTTJGJFS • (SJE4FBSDI • 4FFEΛม͑ͯछྨΛΞϯαϯϒϧ • -JHIU(#.ͳͲɺͦͷଞͷϞσϧ͋·Γਫ਼͕ ग़ͳ͔ͬͨ
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(BNFɺʢҎ֎ʣ • དྷऀগͳ͍ˍධՁج४ʮਖ਼ʯ • શһʮདྷͳ͍ʯͱ༧ଌ͢Εਖ਼͑ • • ઈରʮདྷΔʯਓ͚ͩΛਓྗͰ୳ͦ͏ʂ • (BNFʙશࢼ߹ࢀՃ͍ͯ͠Δਓ • USBJOສਓʹɺ(BNFɺ͚ͩདྷͳ͍ਓ • ଐੑͳͲͰߜΓɺઈରʮདྷΔʯਓΛਓબఆ
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-FBLBHF୳͠ʢࣦഊʣ • ϙΠϯτͱ&$ߪೖֹۚɺ(BNFʙͷ ྦྷੵͳͷͰɺ(BNFʙͷདྷใ͕ ೖ͍ͬͯΔʁ • ϙΠϯτͷফԽɺ&$Ҏ֎Ͱͷߪೖ͕͋ͬͨ • ՈΧοϓϧ୳͠ʢֶशσʔλͱςετ σʔλʹ͔Ε͍ͯͳ͍͔ʁʣ • ֬ূ͕࣋ͯͣ
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݁Ռʢ੯͘͠Ґʣ ˢҐͷUBLVPLP͞ΜʹΑΔղ๏·ͱΊ
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ֶͼ • ՝ʹԠͯ͡ػցֶशͱਓྗΛ͍͚Δ • ୳ࡧతσʔλੳͷॏཁੑ • ධՁج४ͷେ͞ • ࠓճͷ༧ଌϞσϧͰͷಛྔͷॏཁ ˢڪΒ͘։࠵ଆ͕ٻΊΔݟ
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ಛྔͷॏཁ GFBUVSFJNQPSUBODF
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ಛྔͷॏཁͱ • ࡞ͨ͠༧ଌϞσϧͰɺೖྗͷ֤ಛྔ ͕ʮͲͷఔޮՌΛൃش͔ͨ͠ʯࣔ͢ • ࠓճͷ߹ʮͲΜͳϓϨʔ͕དྷʹܨ͕Δ ͷ͔ʁʯΛࣔࠦ͢ΔՄೳੑ͋Γ • ܭࢉํ๏͞·͟·ɻಋग़ͷഎܠΛཧղ͠ɺ ͝ར༻ܭըతʹɻ
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δχ͕ΘΕ͍ͯΔ ˞ TLMFBSOͷܥͷϞσϧͷ߹ IUUQTHJUIVCDPNTDJLJUMFBSOTDJLJUMFBSOCMPCNBTUFSTLMFBSOUSFFUSFFQZ--
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δχ • ࣾձʹ͓͚Δॴಘͷෆฏ͞ΛଌΔࢦඪ ্ͷۭؒɿෆฏ͕ଘࡏʢδχˢʣ Լͷۭؒɿෆฏ͕ଘࡏʢδχˢʣ ࠨͷۭؒɿօಉ͡ʢδχˣʣ ӈͷۭؒɿօಉ͡ʢδχˣʣ δχ͕খ͍͞΄Ͳʮྑׂ͍ʯ
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δχͷར • ʮྑׂ͍ʯ͔ධՁͰ͖Δ ࠨͷۭؒɿօಉ͡ ӈͷۭؒɿօಉ͡ ׂ͢ΔΛδχͷͰஅͰ͖Δ ࠨͷۭؒɿօಉ͡ ӈͷۭؒɿෆฏ͕ଘࡏ
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δχͷԼ͕Γ߹͍ !" !# $ % !#ͷ࣠Ͱׂ͢Δͱɺδχ͕Լ͕Δˠ !#ʮॏཁʯ !"ͷ࣠Ͱׂ͢Δͱɺδχ͕Լ͕Βͳ͍ˠ !"ʮॏཁʯͰͳ͍
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ಛྔͷॏཁ • ॏཁ͕ߴ͔ͬͨಛྔ • ࡾྥଧͷ • ܟԕͷ • ϑΝϯΫϥϒձһίΞͳਓ͕ଟ͘ɺ୯ͳΔ ಘຊྥଧͷͰདྷ͢Δ͔൱͔Λఆ Ͱ͖ͳ͍ʁ
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ݱ࣮ੈքͰͷ׆༻ࣄྫ
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ࣄྫϚʔέςΟϯά • XFCαʔϏεͷ͓ࢼ͠ˠຊܖʹࢸΔ͔Λ ༧ଌ͢Δ • ೖྗʹ༻͍ͨϢʔβଐੑߦಈཤྺͷ͏ͪ Կ͕༧ଌʹޮՌత͔ͩͬͨʁ • ॏཁͷߴ͍ಛྔʹӨڹΛ༩͑ΔࢪࡦΛ ͯ͠Έͯʁ
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ࣄྫߎ࠹ͷ༧ଌ • ޯϒʔεςΟϯάͰ༧ଌ͠ɺ༧ଌʹؔ͢Δ ֤ಛͷد༩Λࢉग़ ʢܭࢉख๏ʮ1BSUJBM%FQFOEFODF1MPUʯ ͳͷͰલड़ͷಛྔͷॏཁͱҟͳΔʣ • ྟচͷݱͰ༧ޙ༧ଌҼࢠͱͯ͠ΒΕΔ ʮൃલN34ʯʮྸʯͳͲ͕நग़Ͱ͖ͨ ˞ʮػցֶशख๏Λ༻͍ͨߎ࠹ͷ༧ޙ༧ଌҼࢠͷநग़ʯ ਓೳֶձݚڀձࢿྉ
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·ͱΊ
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·ͱΊ • ʮٿσʔλੳϋοΧιϯʯͷ४༏উղ๏ ͱಘΒΕͨݟΛڞ༗ͨ͠ • ʮಛྔͷॏཁʯͷҰͭͷܭࢉํ๏Λઆ໌ ͠ɺ۩ମతͳ׆༻ࣄྫΛհͨ͠ • ʢϥϯμϜੑؔΘΔͳͷͰɺҙࢥܾఆͷ ࢀߟఔͷར༻͕·͍͠ͱࢥ͏ʣ
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ࢀߟࢿྉ • ࡢެ։͞Εͨൃදࢿྉ͕ɺඇৗʹྑ͍ IUUQTXXXTMJEFTIBSFOFU4BUPTIJ)BSBTT